Add 36/25 and 28/49, Solve 1 11/25 + 28/49 as a fraction

Add 36/25 and 28/49

1^st number: 1 11/25, 2^nd number: 28/49

36/25 + 28/49 is 352/175.

Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225

Next, find the equivalent fraction of both fractional numbers with denominator 1225
For the 1st fraction, since 25 × 49 = 1225,
36/25 = 36 × 49/25 × 49 = 1764/1225
Likewise, for the 2nd fraction, since 49 × 25 = 1225,
28/49 = 28 × 25/49 × 25 = 700/1225
Add the two like fractions:
1764/1225 + 700/1225 = 1764 + 700/1225 = 2464/1225
2464/1225 simplified gives 352/175
So, 36/25 + 28/49 = 352/175
In mixed form: 22/175

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad